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import streamlit as st
import numpy as np
import matplotlib.pyplot as plt
class MultiLimbCoreModel:
def __init__(self, no_of_turns, cs_area, lengths, length_lg_2, mu_r, r, series_res):
self.no_of_turns = no_of_turns
self.cs_area = cs_area
self.lengths = lengths # Dictionary keys 'a', 'b', 'c', 'w'
self.length_lg_2 = length_lg_2
self.mu_0 = 4 * np.pi * 1.0e-7
self.mu_r = mu_r
self.mu = self.mu_0 * self.mu_r
self.r = r
self.series_res = series_res
self.flux_linkage = 0
self.ind_current = 0
self.t1 = 0
self.dt = 1.0e-6
# Data for plotting
self.simulation_times = []
self.inductor_currents = []
self.voltage_sources = []
self.inductor_emfs = []
self.inductor_flux_linkages = []
self.indmodel_flux = []
self.indmodel_flux2 = []
self.indmodel_flux3 = []
self.phi_values = []
def calculate_resistances(self):
R1 = (2 * self.lengths['a'] + self.lengths['b'] + 2.0 * self.lengths['w'] - 2 * self.length_lg_2) / (self.mu * self.cs_area)
Rg1 = (2 * self.length_lg_2) / (self.mu_0 * self.cs_area)
R2 = (self.lengths['b'] + self.lengths['w']) / (self.mu * self.cs_area)
R3 = (2 * self.lengths['c'] + self.lengths['b'] + 2.0 * self.lengths['w'] - 2 * self.length_lg_2) / (self.mu * self.cs_area)
Rg2 = (self.length_lg_2) / (self.mu_0 * self.cs_area)
R_eq = R1 + Rg1 + (R2 * (R3 + Rg2) / (R2 + R3 + Rg2))
return R_eq, R1, Rg1, R2, Rg2, R3
def update(self, vmeas, t_clock):
if t_clock >= self.t1:
R_eq, R1, Rg1, R2, Rg2, R3 = self.calculate_resistances()
k1 = (vmeas - self.ind_current * self.r)
k2 = (vmeas - (self.ind_current + self.dt * k1 / 2.0) * self.r)
k3 = (vmeas - (self.ind_current + self.dt * k2 / 2.0) * self.r)
k4 = (vmeas - (self.ind_current + self.dt * k3) * self.r)
k = (k1 + 2 * k2 + 2 * k3 + k4) * self.dt / 6.0
self.flux_linkage += k
flux = self.flux_linkage / self.no_of_turns
self.ind_current = flux * R_eq / self.no_of_turns
phi = self.no_of_turns * self.ind_current / R_eq
vsrc = vmeas - self.ind_current * self.series_res
indmodel_emf = vmeas - self.ind_current * self.r
# Multi Core Limbs
indmodel_flux = flux
indmodel_flux2 = flux * (R2 * (R3 + Rg2) / (R2 + R3 + Rg2)) / R2
indmodel_flux3 = flux * (R2 * (R3 + Rg2) / (R2 + R3 + Rg2)) / R3
# Store data for plotting
self.simulation_times.append(t_clock)
self.inductor_currents.append(self.ind_current)
self.voltage_sources.append(vsrc)
self.inductor_emfs.append(indmodel_emf)
self.inductor_flux_linkages.append(self.flux_linkage)
self.indmodel_flux.append(indmodel_flux) # Limb 1
self.indmodel_flux2.append(indmodel_flux2) # Limb 2
self.indmodel_flux3.append(indmodel_flux3) # Limb 3
self.phi_values.append(phi)
self.t1 += self.dt
def plot_reluctances_of_each_limb(self):
fig, ax = plt.subplots(figsize=(12, 8))
ax.plot(self.simulation_times, self.indmodel_flux, label='Limb 1 Flux')
ax.plot(self.simulation_times, self.indmodel_flux2, label='Limb 2 Flux')
ax.plot(self.simulation_times, self.indmodel_flux3, label='Limb 3 Flux')
ax.set_xlabel('Time (s)')
ax.set_ylabel('Flux (Weber)')
ax.legend()
ax.set_title('Flux in Each Limb Over Time')
st.pyplot(fig)
def plot_reluctances_of_each_limb_log_base_10(self):
fig, ax = plt.subplots(figsize=(12, 8))
ax.plot(self.simulation_times, self.indmodel_flux, label='Limb 1 Flux')
ax.plot(self.simulation_times, self.indmodel_flux2, label='Limb 2 Flux')
ax.plot(self.simulation_times, self.indmodel_flux3, label='Limb 3 Flux')
ax.set_xlabel('Time (s)')
ax.set_ylabel('Flux (Weber)')
ax.set_yscale('log', base=10)
ax.legend()
ax.set_title('Flux in Each Limb Over Time (Log-Scale)')
st.pyplot(fig)
def plot_inductor_currents(self):
fig, ax = plt.subplots(figsize=(12, 8))
ax.plot(self.simulation_times, self.inductor_currents, label='Inductor Current')
ax.set_xlabel('Time (s)')
ax.set_ylabel('Current (Amperes)')
ax.legend()
ax.set_title('Inductor Current Over Time')
st.pyplot(fig)
def plot_inductor_currents_log_base_10(self):
fig, ax = plt.subplots(figsize=(12, 8))
ax.plot(self.simulation_times, self.inductor_currents, label='Inductor Current')
ax.set_xlabel('Time (s)')
ax.set_ylabel('Current (Amperes)')
ax.set_yscale('log', base=10)
ax.legend()
ax.set_title('Inductor Current Over Time (Log-Scale)')
st.pyplot(fig)
def plot_results(self):
fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 8))
ax1.plot(self.simulation_times, self.inductor_flux_linkages, label='Flux Linkage')
ax1.set_xlabel('Time (s)')
ax1.set_ylabel('Flux Linkage')
ax1.legend()
ax1.set_title('Flux Linkage Over Time')
ax2.plot(self.simulation_times, self.inductor_emfs, label='Induced EMF', color='red')
ax2.set_xlabel('Time (s)')
ax2.set_ylabel('EMF')
ax2.legend()
ax2.set_title('Induced EMF Over Time')
plt.tight_layout()
st.pyplot(fig)
def plot_results_log_base_10(self):
fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 8))
ax1.plot(self.simulation_times, self.inductor_flux_linkages, label='Flux Linkage')
ax1.set_xlabel('Time (s)')
ax1.set_ylabel('Flux Linkage')
ax1.set_yscale('log', base=10)
ax1.legend()
ax1.set_title('Flux Linkage Over Time (Log-Scale)')
ax2.plot(self.simulation_times, self.inductor_emfs, label='Induced EMF', color='red')
ax2.set_xlabel('Time (s)')
ax2.set_ylabel('EMF')
ax2.set_xscale('log', base=10)
ax2.legend()
ax2.set_title('Induced EMF Over Time (Log-Scale)')
plt.tight_layout()
st.pyplot(fig)
def plot_phi_values(self):
fig, ax = plt.subplots(figsize=(12, 8))
ax.plot(self.simulation_times, self.phi_values, label='Phi Values')
ax.set_xlabel('Time (s)')
ax.set_ylabel('Phi (Weber)')
ax.legend()
ax.set_title('Phi Values Over Time')
st.pyplot(fig)
def plot_phi_values_log_base_10(self):
fig, ax = plt.subplots(figsize=(12, 8))
ax.plot(self.simulation_times, self.phi_values, label='Phi Values')
ax.set_xlabel('Time (s)')
ax.set_ylabel('Phi (Weber)')
ax.set_yscale('log', base=10)
ax.legend()
ax.set_title('Phi Values Over Time (Log-Scale')
st.pyplot(fig)
# Streamlit App
def main():
st.title('Multi-Limb Core Model Simulation')
# Input parameters
no_of_turns = st.number_input('Number of Turns',min_value=125, max_value=777, value=500)
cs_area = st.number_input('Cross-Sectional Area',value=9.0e-4)
lengths = {
'a': st.number_input('Length a', min_value=1.0e-2, max_value=25.0e-2, value=5.0e-2),
'b': st.number_input('Length b', min_value=1.125e-2, max_value=28.8e-2,value=4.5e-2),
'c': st.number_input('Length c', min_value=0.50e-2, max_value=88.4e-2, value=4.0e-2),
'w': st.number_input('Length w', min_value=0.625e-2, max_value=100e-2,value=3.0e-2)
}
length_lg_2 = st.number_input('Length lg_2', value=0.1e-3)
mu_r = st.number_input('Relative Permeability', min_value=1000.0, max_value=1000.0, value=1000.0)
r = st.number_input('Resistance', min_value=0.01, max_value=0.99, value=0.01)
series_res = st.number_input('Series Resistance',min_value=2, max_value=22, value=10)
vmeas = st.number_input('Voltage Measurement', min_value=5, max_value=100,value=100)
simulation_time = st.number_input('Simulation Time', min_value=0.125, max_value=0.625,value=0.125)
if st.button('Run Simulation'):
model = MultiLimbCoreModel(no_of_turns, cs_area, lengths, length_lg_2, mu_r, r, series_res)
t_clock = 0
while t_clock < simulation_time:
model.update(vmeas, t_clock)
t_clock += model.dt
st.subheader('Results')
model.plot_reluctances_of_each_limb()
model.plot_reluctances_of_each_limb_log_base_10()
model.plot_inductor_currents()
model.plot_inductor_currents_log_base_10()
model.plot_results()
model.plot_results_log_base_10()
model.plot_phi_values()
model.plot_phi_values_log_base_10()
if __name__ == '__main__':
main() |